Attainment results for nematic elastomers

DOI10.1017/S0308210515000128zbMath1327.74067arXiv1310.1794OpenAlexW2157079826WikidataQ59202118 ScholiaQ59202118MaRDI QIDQ3452138

Virginia Agostiniani, Antonio De Simone, Gianni Dal Maso

Publication date: 18 November 2015

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.1794

zbMATH Keywords

nematic elastomerssolenoidal fieldsconvex intergration

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Energy minimization in equilibrium problems in solid mechanics (74G65) Liquid crystals (76A15) Equations linearized about a deformed state (small deformations superposed on large) (74B15)

Related Items (7)

Mechanics of materials: towards predictive methods for kinetics in plasticity, fracture, and damage. Abstracts from the workshop held March 8--14, 2020 ⋮ Gamma-convergence results for nematic elastomer bilayers: relaxation and actuation ⋮ Exact constructions in the (non-linear) planar theory of elasticity: from elastic crystals to nematic elastomers ⋮ Dimension reduction via \(\Gamma \)-convergence for soft active materials ⋮ A pseudo-anelastic model for stress softening in liquid crystal elastomers ⋮ Shape programming for narrow ribbons of nematic elastomers ⋮ Frank energy for nematic elastomers: a nonlinear model

Cites Work

• Quasiconvex envelopes of energies for nematic elastomers in the small strain regime and applications
• \(\Gamma\)-convergence of energies for nematic elastomers in the small strain limit
• Relaxation of multiwell energies in linearized elasticity and applications to nematic elastomers
• The Euler equations as a differential inclusion
• Implicit partial differential equations
• On the dynamics of fine structure
• Macroscopic response of nematic elastomers via relaxation of a class of \(SO(3)\)-invariant energies
• Dynamics as a mechanism preventing the formation of finer and fine microstructure
• Convex integration with constraints and applications to phase transitions and partial differential equations
• On a Differential Inclusion Related to the Born--Infeld Equations
• Explicit Construction of Piecewise Affine Mappings with Constraints

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